Ueber Riemann'sche Flächen mit gegebenen Verzweigungspunkten
TLDR
The Riemannsche Theorie der algebraischen Funktionen as discussed by the authors is a Theorie von der graphisch uber der komplexen Zahlenebene.Abstract:
Die grundlegende Bedeutung des vorliegenden Themas fur die Riemann’sche Theorie der algebraischen Funktionen brauche ich wohl kaum hervorzuheben. Geht doch diese Theorie von der graphisch uber der komplexen Zahlenebene konstruierten Riemann’schen Flache aus, um erst sodann die Funktionen, welche durch diese Flache bestimmt sind, zu untersuchen.read more
Citations
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Asymptotics of quantum weighted Hurwitz numbers
TL;DR: In this article, the partition function for quantum weighted double Hurwitz numbers can be interpreted in terms of the energy distri- bution of a quantum Bose gas with vanishing fugacity.
Dissertation
A configuration of homological stability results
TL;DR: A survey of homological stability in algebraic topology can be found in this paper, where the authors introduce simplicial complexes, called fern complexes, which are modelled on the arc complexes of surfaces.
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Mumford’s influence on the moduli theory of algebraic varieties
TL;DR: In this article, a short appreciation of Mumford's work on the moduli of varieties by putting it into historical context is given, by reviewing earlier works and highlighting the innovations introduced by Mumford.
Posted Content
Homology and orientation reversing periodic maps on surfaces
TL;DR: In this article, a classification of orientation reversing periodic maps on closed surfaces is given, which generalizes the theory of Nielsen for the orientation preserving periodic maps, and the criterion to judge when two different groups of data correspond to the same conjugacy class is given.
Algorithmic Construction of Fundamental Polygons for Certain Fuchsian Groups
TL;DR: The work of mathematical giants, such as Lobachevsky, Gauss, Riemann, Klein and Poincare, to name a few, lies at the foundation of the study of the highly structured riemann surfaces as discussed by the authors.
References
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Ueber die Auflösung gewisser Gleichungen vom siebenten und achten Grade
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Ueber diejenigen algebraischen Gebilde, welche eindeutige Transformationen in sich zulassen
TL;DR: In den nachfolgenden Zeilen beschaftige ich mich namentlich mit der Aufgabe: alle irreduzibeln algebraischen Gleichungen as discussed by the authors.